We look at the division of 96959340 by 971 
Our goal is to divide 96959340 by 971.

Step 1:
9 divided by 971 is 0 with a remainder of 9.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 9, we end up with 9.
Append the next digit (6) from the dividend to 9 and continue with: 96 / 971

Step 2:
971 can be fit into 96 0 times, resulting in a remainder of 96.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 96, we end up with 96.
Append the next digit (9) from the dividend to 96 and continue with: 969 / 971

Advancing to step 3:
The number 971 fits into 969 0 times, leaving a remainder of 969.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 969, we end up with 969.
Include the next digit (5) from the dividend after 969, then repeat: 9695 / 971

Going ahead to step 4:
When dividing 9695 by 971, we get 9 with a remainder of 956.
The number 9 becomes the next digit in our result. 
Result so far: 9.0
Subtracting 8739 from 9695 leaves us with 956.
Take the next digit (9) from the dividend and append it to 956, then repeat: 9569 / 971

On to step 5:
9569 divided by 971 is 9 with a remainder of 830.
Record the quotient 9 as the next digit in the result. 
Result so far: 99.0
The remainder is 830 after subtracting 8739 from 9569.
Bring next digit (3) of the dividend behind the 830 and repeat the process: 8303 / 971

Advancing to step 6:
If we divide 8303 by 971, we get 8 and a remainder of 535.
The number 8 becomes the next digit in our result. 
Result so far: 998.0
If we subtract 7768 from 8303, we get 535.
Append the next digit (4) from the dividend to 535 and continue with: 5354 / 971

Going ahead to step 7:
If we divide 5354 by 971, we get 5 and a remainder of 499.
Record the quotient 5 as the next digit in the result. 
Result so far: 9985.0
If we subtract 4855 from 5354, we get 499.
Fetch the next digit (0) from the dividend, attach it to 499 and continue: 4990 / 971

Step 8:
The number 971 fits into 4990 5 times, leaving a remainder of 135.
Write down 5 as next digit of the result. 
Result so far: 99855.0
Deduct 4855 from 4990 and we're left with 135.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1350, and continue the process.

Moving on to step 9:
If we divide 1350 by 971, we get 1 and a remainder of 379.
Use 1 as the next digit of our solution. 
Result so far: 99855.1
Subtract 971 from 1350 to get 379.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3790, and continue the process.

Moving on to step 10:
971 can be fit into 3790 3 times, resulting in a remainder of 877.
The next digit of our result is 3. 
Result so far: 99855.13
The remainder is 877 after subtracting 2913 from 3790.
Since there are no more digits in the dividend, we add a zero to the remainder making it 8770, and continue the process.

Step 11:
971 goes into 8770 9 times with a remainder of 31.
Use 9 as the next digit of our solution. 
Result so far: 99855.139
If we subtract 8739 from 8770, we get 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Going ahead to step 12:
If we divide 310 by 971, we get 0 and a remainder of 310.
The next digit of our result is 0. 
Result so far: 99855.139
If we subtract 0 from 310, we get 310.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3100, and continue the process.

On to step 13:
971 can be fit into 3100 3 times, resulting in a remainder of 187.
The next digit of our result is 3. 
Result so far: 99855.13903
Deduct 2913 from 3100 and we're left with 187.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1870, and continue the process.

Going ahead to step 14:
971 can be fit into 1870 1 times, resulting in a remainder of 899.
Use 1 as the next digit of our solution. 
Result so far: 99855.139031
Subtracting 971 from 1870 leaves us with 899.
Since there are no more digits in the dividend, we add a zero to the remainder making it 8990, and continue the process.

Let's proceed to step 15:
When dividing 8990 by 971, we get 9 with a remainder of 251.
The next digit of our result is 9. 
Result so far: 99855.1390319
Deduct 8739 from 8990 and we're left with 251.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2510, and continue the process.

On to step 16:
When dividing 2510 by 971, we get 2 with a remainder of 568.
The next digit of our result is 2. 
Result so far: 99855.13903192
Subtracting 1942 from 2510 leaves us with 568.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5680, and continue the process.

After the division, we end up with 99855.13903192 and a remainder of 5.68e-07.